Given that there is a total (T) of 280 passengers, of which 38 are in first class (f).
So the number of passengers in the coach (c)is calculate as,
[tex]\begin{gathered} \text{c=T}-f \\ \text{c=}280-38 \\ \text{c=}242 \end{gathered}[/tex]Also given that the cost of first class ticket (Cf) is $710, and the cost of a coach ticket (Cc) is $236.
So the gross amount (A) of a full plane is calculated as,
[tex]\begin{gathered} A=(f\times C_f)+(c\times C_c) \\ A=(38\times710_{})+(242\times236) \\ A=(26980)+(57112) \\ A=84092 \end{gathered}[/tex]Thus the airline will gross $84092 if the plane is full.